Pith. sign in
Pith Number

pith:52YOZZOB

pith:2023:52YOZZOBXT7WBCBJI2QIN2VISB
not attested not anchored not stored refs pending

Symmetric Powers

J\'anos Koll\'ar, Pham Huu Tiep

arxiv:2303.15596 v1 · 2023-03-27 · math.RT · math.GR

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{52YOZZOBXT7WBCBJI2QIN2VISB}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp
2 Internet Archive
3 Author claim open · sign in to claim
4 Citations open
5 Replications open
Portable graph bundle live · download bundle · merged state
The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

1 paper in Pith

Receipt and verification
First computed 2026-07-05T05:55:25.674799Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

eeb0ece5c1bcff60882946a086eaa8905fc976370dee9b4038925e10da4c06de

Aliases

arxiv: 2303.15596 · arxiv_version: 2303.15596v1 · doi: 10.48550/arxiv.2303.15596 · pith_short_12: 52YOZZOBXT7W · pith_short_16: 52YOZZOBXT7WBCBJ · pith_short_8: 52YOZZOB
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/52YOZZOBXT7WBCBJI2QIN2VISB \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: eeb0ece5c1bcff60882946a086eaa8905fc976370dee9b4038925e10da4c06de
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "7da9e24e7e2c16f0314fbdf6012e56fe869cffc65577d26ed85df806b4c4a634",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2023-03-27T20:59:52Z",
    "title_canon_sha256": "a1999a4f5dcff5d7503019f44294204e29d0fd2cd06b50d703f666fea84f0403"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2303.15596",
    "kind": "arxiv",
    "version": 1
  }
}